Recent questions tagged gateme-2019-set1

4 4 votes
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John Thomas, an _________ writer, passed away in $2018$.imminentprominenteminentdominant
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1 answers 1 answer
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____I permitted him to leave, I wouldn’t have had any problem with him being absent, ____ I?Had, wouldn’tHave, wouldHad, wouldHave, wouldn’t
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A worker noticed that the hour hand on the factory clock had moved by $225$ degrees during her stay at the factory. For how long did she stay in the factory?$3.75$ hours$...
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The sum and product of two integers are $26$ and $165$ respectively. The difference between these two integers is ______$2$$3$$4$$6$
3 3 votes
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The minister avoided any mention of the issue of women’s reservation in the private sector. He was accused of ______ the issue.collaringskirtingtyingbelting
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Under a certain legal system, prisoners are allowed to make one statement. If their statements turns out to be true then they are hanged. If the statements turns to be fa...
15 15 votes
6 answers 6 answers
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A person divided an amount of Rs. $100,000$ into two parts and invested in two different schemes. In one he got $10 \%$ profit and in the other he got $12 \%$. If the pro...
1 1 vote
2 answers 2 answers
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Congo was named by Europeans, Congo’s dictator Mobuto later changed the name of the county and the river to Zaire with the objective of Africanising names of persons and ...
8 8 votes
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A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skills levels of total employment in $2010$ is given in the pie cha...
12 12 votes
2 answers 2 answers
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$M$ and $N$ had four children $P$, $Q$, $R$ and $S$. Of them, only $P$ and $R$ were married. They had children $X$ and $Y$ respectively. If $Y$ is a legitimate child of $...
1 1 vote
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Consider the matrix$$P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$$The number of distinct eigenvalues$0$$1$$2$$3$
0 0 votes
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A parabola $x=y^2$ with $0 \leq x \leq 1$ is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by $360^{\circ}$ around x-axis ...
0 0 votes
1 1 answer
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For the equation $\dfrac{dy}{dx}+7x^2y=0$, if $y(0)=3/7$, then the value of $y(1)$ is$\dfrac{7}{3}e^{-7/3} \\$$\dfrac{7}{3}e^{-3/7} \\$$\dfrac{3}{7}e^{-7/3} \\$$\dfrac{3}...
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The lengths of a large stock of titanium rods follow a normal distribution with a mean $(\mu)$ of $440$ mm and a standard deviation $(\sigma)$ of $1$ mm.What is the perce...
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A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity $\omega$. At time $t=0$, the vertical position of the follower is $...
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381
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The natural frequencies corresponding to the spring-mass systems $I$ and $II$ are $\omega_1$ and $\omega_{II}$, respectively. The ratio $\dfrac{\omega_I}{\omega_{II}}$ is...
0 0 votes
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A spur gear with $20^{\circ}$ full depth teeth is transmitting $20 \: kW$ at $200 \: rad/s$. The pitch circle diameter of the gear is $100 \: mm$. The magnitude of the fo...
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During a non-flow thermodynamic process $(1-2)$ executed by a perfect gas, the heat interaction is equal to the work interaction $(Q_{1-2} = W_{1-2})$ when the process is...
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For a hydrodynamically and thermally fully developed laminar flow through a circular pipe of constant cross-section, the Nusselt number at constant wall heat flux $(Nu_q...
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As per common design practice, the three types of hydraulic turbines, in descending order of flow rate, areKaplan, Francis, PeltonPelton, Francis, KaplanFrancis, Kaplan, ...
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A slender rod of length $L$, diameter $d$ $(L >d)$ and thermal conductivity $k_1$ is joined with another rod of identical dimensions, but of thermal conductivity $k_2$, ...
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Consider an ideal vapor compression refrigeration cycle. If the throttling process is replaced by an isentropic expansion process, keeping all the other processes unchang...
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In a casting process, a vertical channel through which molten metal flows downward from pouring basin to runner for reaching the mold cavity is calledblistersprueriserpin...
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Which one of the following welding methods provides the highest heat flux $(W/mm^2)$?Oxy-acetylene gas weldingTungsten inert gas weldingPlasma arc weldingLaser beam weldi...
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The length, width and thickness of a steel sample are $400$ mm, $40$ mm and $20$ mm, respectively. Its thickness needs to be uniformly reduced by $2$ mm in a single pass ...
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The position vector $\overrightarrow{OP}$ of point $P(20,10)$ is rotated anti-clockwise in $X-Y$ plane by an angle $\theta = 30^{\circ}$ such that point $P$ occupies posi...
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The table presents the demand of a product. By simple three-months moving average method, the demand-forecast of the product for the month of September is$$\begin{array}{...
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Evaluation of $\int_2^4 x^3 dx$ using a $2$-equal-segment trapezoidal rule gives a value of _______
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A block of mass $10$ kg rests on a horizontal floor. The acceleration due to gravity is $9.81 \: m/s^2$. The coefficient of static friction between the floor and the bloc...
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559 views
A cylindrical rod of diameter $10$ mm and length $0.1$m fixed at one end. The other end is twisted by an angle of $10^{\circ}$ by applying a torque. If the maximum shear ...